Understanding Power Signals and Non-Periodic Functions

In summary, the function x[n] is not periodic as it does not repeat itself over all values of n, only from 0 to infinity. However, it is a power signal.
  • #1
Angello90
65
0
x(t) = t, [tex]0 \leq t \leq 1[/tex];
x(t) = 2-t, [tex]1 \leq t \leq 2[/tex];
x(t) = 0 ,otherwise.

I want to draw this signal, and I have something similar to this
attachment.php?attachmentid=29446&d=1288200219.jpg


Is that correct? Also this is not periodic right? I just want to be sure 100%

Thanks!
 

Attachments

  • Untitled-1.jpg
    Untitled-1.jpg
    10.2 KB · Views: 481
Physics news on Phys.org
  • #2
Angello90 said:
x(t) = t, [tex]0 \leq t \leq 1[/tex];
x(t) = 2-t, [tex]1 \leq t \leq 2[/tex];
x(t) = 0 ,otherwise.

I want to draw this signal, and I have something similar to this
attachment.php?attachmentid=29446&d=1288200219.jpg


Is that correct? Also this is not periodic right? I just want to be sure 100%

Thanks!

Looks good to me.
 
  • #3
Ok thanks a lot;)

Also if:
[tex]x[n] = Cos(\pi n), n\geq 0[/tex]
[tex]x[n] = 0, otherwise[/tex],

Than graph will be periodic from [tex]0 \rightarrow \infty[/tex], but from [tex]- \infty \rightarrow \infty[/tex] it is not periodic right? So overall is it periodic or not? My books says that it is periodic.
 
  • #4
Angello90 said:
Ok thanks a lot;)

Also if:
[tex]x[n] = Cos(\pi n), n\geq 0[/tex]
[tex]x[n] = 0, otherwise[/tex],

Than graph will be periodic from [tex]0 \rightarrow \infty[/tex], but from [tex]- \infty \rightarrow \infty[/tex] it is not periodic right? So overall is it periodic or not? My books says that it is periodic.

What is your book's definition of a periodic function? Usually it has to hold for all x, not just a range:

http://en.wikipedia.org/wiki/Periodic_function

.
 
  • #5
Sorry I shouldn't write that it says it's periodic. It says that it is power signal, but power signal is periodic hence my statement.

So the function x[n] is not periodic?
 

1. What is a signal in the context of signals and systems?

A signal is a representation of a physical quantity that varies over time or space. In the context of signals and systems, it is typically a function of time that carries information about a physical process or phenomenon.

2. What are the different types of signals in signals and systems?

There are various types of signals in signals and systems, including continuous-time signals, discrete-time signals, analog signals, digital signals, periodic signals, and non-periodic signals.

3. How are signals represented mathematically in signals and systems?

In signals and systems, signals are typically represented mathematically as functions of time or space. For example, a continuous-time signal may be represented as a function of time t, denoted as x(t), while a discrete-time signal may be represented as a sequence of numbers, denoted as x[n].

4. What is the difference between a signal and a system in signals and systems?

A signal is a representation of a physical quantity, while a system is a mathematical model or process that operates on signals to produce an output. In other words, a signal is the input to a system, and the system processes the signal to produce an output signal.

5. How are signals and systems used in real-world applications?

Signals and systems are used in a wide range of real-world applications, such as in telecommunications, audio and video processing, control systems, image processing, and biomedical signal processing. They are also essential in fields such as electrical engineering, computer science, and physics.

Similar threads

  • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
234
  • Engineering and Comp Sci Homework Help
Replies
5
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
0
Views
414
  • Engineering and Comp Sci Homework Help
Replies
4
Views
6K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
985
  • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
  • Differential Equations
Replies
5
Views
608
Back
Top